Question

Use the work shown below to write the equation for a line that passes through the points (−5, 0) and (−1, −8).

Answer 1

Answer:

D.y = –2x – 10

Step-by-step explanation:

Answer 2

Answer:

The equation of the line in slope-intercept form is: y = -2x - 10

Step-by-step explanation:

An equation for a line that passes through the points A = (−5, 0) and B = (−1, −8).

The formula to compute the slope, using two point is:

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Compute the slope of the line as follows:

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

    $m=\frac{-8-0}{-1+5}$

        $=\frac{-8}{4}\\\\=-2$

The slope of the line is -2.

Compute the equation of the line as follows:

$(y-y_{1})=m\times (x-x_{1})$

   $y-0=-2\times (x+5)$

         $y=-2x-10$

The y-intercept of the line is -10.

The equation of the line in slope-intercept form is:

y = -2x - 10